Effect of Changing 'a' in aSin(nx) or aCos(nx) (Leaving Cert Mathematics): Quizzes

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Effect of Changing 'a' in aSin(nx) or aCos(nx)
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How does parameter 'a' affect the wave's height in y=asin⁡(nx)y = a \sin(nx)?

Makes wave taller or shorter

What does ∣a∣>1|a| > 1 do to the graph of y=acos⁡(nx)y=a \cos(nx)?

Stretches vertically

How does a negative value of 'a' affect the graph of y=acos⁡(nx)y = a \cos(nx)?

Flips across x-axis

What is the amplitude of y=4sin⁡(nx)y = 4 \sin(nx)?

4

What is the amplitude of y=−2cos⁡(nx)y = -2 \cos(nx)?

2

In y=asin⁡(nx)y = a \sin(nx), what does a=1/2a = 1/2 signify?

Wave is half as tall

For y=acos⁡(nx)y = a \cos(nx), what happens if a=−1a = -1?

Reflected across x-axis

If 'a' in y=asin⁡(nx)y = a \sin(nx) doubles, what happens?

Wave stretches vertically

How does ∣a∣|a| influence wave's max height?

Sets max height

What does the letter 'n' influence in y=asin⁡(nx)y = a \sin(nx)?

Period of wave

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Special Angles & The Unit Circle

Radians & Sectors

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